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Popular >

cos^2(x)=2cos(x)-1

Solution

cos^{2} (x) = 2 cos (x) - 1

Solution

x = 2 πn

+1

Solution steps

cos^{2} (x) = 2 cos (x) - 1

Solve by substitution

cos (x) = 1

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = 2 πn

Popular Examples

sqrt(11)sin(x+37.09)=1

11 sin (x + 37.0 9^{\circ}) = 1

cot^2(x)+3csc(x)+3=0

cot^{2} (x) + 3 csc (x) + 3 = 0

cos(2x)+cos(x)-1=0

cos (2 x) + cos (x) - 1 = 0

cos(2x)-1=-sin(2x)

cos (2 x) - 1 = - sin (2 x)

5sin(x)=sqrt(3)+3sin(x)

5 sin (x) = 3 + 3 sin (x)

Frequently Asked Questions (FAQ)

What is the general solution for cos^2(x)=2cos(x)-1 ?
The general solution for cos^2(x)=2cos(x)-1 is x=2pin